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2002311300 = 22352113111951
BaseRepresentation
bin111011101011000…
…1101100010000100
312011112200221201210
41313112031202010
513100042430200
6530404251420
7100422236163
oct16726154204
95145627653
102002311300
11938286130
1247a6a0b70
1325baa63b2
1414dcdb3da
15babbc650
hex7758d884

2002311300 has 144 divisors (see below), whose sum is σ = 6343593984. Its totient is φ = 483600000.

The previous prime is 2002311247. The next prime is 2002311329. The reversal of 2002311300 is 31132002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1025325 + ... + 1027275.

It is an arithmetic number, because the mean of its divisors is an integer number (44052736).

Almost surely, 22002311300 is an apocalyptic number.

2002311300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171796992).

2002311300 is an abundant number, since it is smaller than the sum of its proper divisors (4341282684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002311300 is a wasteful number, since it uses less digits than its factorization.

2002311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2002311300 is about 44747.1932080661. The cubic root of 2002311300 is about 1260.4062056399.

Adding to 2002311300 its reverse (31132002), we get a palindrome (2033443302).

The spelling of 2002311300 in words is "two billion, two million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 311 330 550 622 660 825 933 1100 1244 1555 1650 1866 1951 3110 3300 3421 3732 3902 4665 5853 6220 6842 7775 7804 9330 9755 10263 11706 13684 15550 17105 18660 19510 20526 21461 23325 23412 29265 31100 34210 39020 41052 42922 46650 48775 51315 58530 64383 68420 85525 85844 93300 97550 102630 107305 117060 128766 146325 171050 195100 205260 214610 256575 257532 292650 321915 342100 429220 513150 536525 585300 606761 643830 1026300 1073050 1213522 1287660 1609575 1820283 2146100 2427044 3033805 3219150 3640566 6067610 6438300 6674371 7281132 9101415 12135220 13348742 15169025 18202830 20023113 26697484 30338050 33371855 36405660 40046226 45507075 60676100 66743710 80092452 91014150 100115565 133487420 166859275 182028300 200231130 333718550 400462260 500577825 667437100 1001155650 2002311300